We consider a system of Gross–Pitaevskii equations in R 2 modelling a mixture of two Bose–Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas– Fermi approximation as well as phase segregation phenomena within the large interaction regime.
Caliari, M., Squassina, M., Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems, <<DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS>>, 2008; 5 (2): 117-137. [doi:10.4310/DPDE.2008.v5.n2.a2] [http://hdl.handle.net/10807/91007]
Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems
Squassina, MarcoUltimo
2008
Abstract
We consider a system of Gross–Pitaevskii equations in R 2 modelling a mixture of two Bose–Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas– Fermi approximation as well as phase segregation phenomena within the large interaction regime.
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